Information on Result #1028662
Linear OOA(2183, 65, F2, 3, 120) (dual of [(65, 3), 12, 121]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 13, F16, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2183, 65, F2, 3, 119) (dual of [(65, 3), 12, 120]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2183, 65, F2, 3, 118) (dual of [(65, 3), 12, 119]-NRT-code) | [i] | ||
| 3 | Linear OOA(2183, 65, F2, 3, 117) (dual of [(65, 3), 12, 118]-NRT-code) | [i] | ||
| 4 | Linear OOA(2183, 65, F2, 3, 116) (dual of [(65, 3), 12, 117]-NRT-code) | [i] | ||
| 5 | Linear OOA(2183, 65, F2, 3, 115) (dual of [(65, 3), 12, 116]-NRT-code) | [i] | ||
| 6 | Linear OOA(2183, 65, F2, 3, 114) (dual of [(65, 3), 12, 115]-NRT-code) | [i] | ||
| 7 | Linear OOA(2183, 65, F2, 3, 113) (dual of [(65, 3), 12, 114]-NRT-code) | [i] | ||
| 8 | Linear OOA(2183, 65, F2, 3, 112) (dual of [(65, 3), 12, 113]-NRT-code) | [i] | ||
| 9 | Linear OOA(2183, 65, F2, 3, 111) (dual of [(65, 3), 12, 112]-NRT-code) | [i] | ||
| 10 | Linear OOA(2183, 65, F2, 3, 110) (dual of [(65, 3), 12, 111]-NRT-code) | [i] | ||
| 11 | Linear OOA(2186, 66, F2, 3, 120) (dual of [(66, 3), 12, 121]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 12 | Linear OOA(2184, 65, F2, 3, 120) (dual of [(65, 3), 11, 121]-NRT-code) | [i] | OOA Duplication | |
| 13 | Linear OOA(2185, 65, F2, 3, 120) (dual of [(65, 3), 10, 121]-NRT-code) | [i] | ||
| 14 | Linear OOA(2182, 64, F2, 3, 119) (dual of [(64, 3), 10, 120]-NRT-code) | [i] | Truncation for OOAs | |
| 15 | Linear OOA(2181, 64, F2, 3, 118) (dual of [(64, 3), 11, 119]-NRT-code) | [i] | ||
| 16 | Linear OOA(2180, 64, F2, 3, 117) (dual of [(64, 3), 12, 118]-NRT-code) | [i] | ||
| 17 | Linear OOA(2179, 63, F2, 3, 116) (dual of [(63, 3), 10, 117]-NRT-code) | [i] | ||
| 18 | Linear OOA(2178, 63, F2, 3, 115) (dual of [(63, 3), 11, 116]-NRT-code) | [i] | ||
| 19 | Linear OOA(2177, 63, F2, 3, 114) (dual of [(63, 3), 12, 115]-NRT-code) | [i] | ||
| 20 | Linear OOA(2176, 62, F2, 3, 113) (dual of [(62, 3), 10, 114]-NRT-code) | [i] | ||
| 21 | Linear OOA(2175, 62, F2, 3, 112) (dual of [(62, 3), 11, 113]-NRT-code) | [i] | ||
| 22 | Linear OOA(2174, 62, F2, 3, 111) (dual of [(62, 3), 12, 112]-NRT-code) | [i] | ||
| 23 | Linear OOA(2173, 61, F2, 3, 110) (dual of [(61, 3), 10, 111]-NRT-code) | [i] | ||
| 24 | Linear OOA(2172, 61, F2, 3, 109) (dual of [(61, 3), 11, 110]-NRT-code) | [i] | ||
| 25 | Linear OOA(2171, 61, F2, 3, 108) (dual of [(61, 3), 12, 109]-NRT-code) | [i] | ||
| 26 | Linear OOA(2170, 60, F2, 3, 107) (dual of [(60, 3), 10, 108]-NRT-code) | [i] | ||
| 27 | Linear OOA(2169, 60, F2, 3, 106) (dual of [(60, 3), 11, 107]-NRT-code) | [i] | ||
| 28 | Linear OOA(2167, 59, F2, 3, 104) (dual of [(59, 3), 10, 105]-NRT-code) | [i] | ||
| 29 | Linear OOA(2166, 59, F2, 3, 103) (dual of [(59, 3), 11, 104]-NRT-code) | [i] | ||
| 30 | Linear OOA(2165, 59, F2, 3, 102) (dual of [(59, 3), 12, 103]-NRT-code) | [i] | ||
| 31 | Linear OOA(2164, 58, F2, 3, 101) (dual of [(58, 3), 10, 102]-NRT-code) | [i] | ||
| 32 | Linear OOA(2163, 58, F2, 3, 100) (dual of [(58, 3), 11, 101]-NRT-code) | [i] | ||
| 33 | Linear OOA(2162, 58, F2, 3, 99) (dual of [(58, 3), 12, 100]-NRT-code) | [i] | ||
| 34 | Linear OOA(2161, 57, F2, 3, 98) (dual of [(57, 3), 10, 99]-NRT-code) | [i] | ||
| 35 | Linear OOA(2160, 57, F2, 3, 97) (dual of [(57, 3), 11, 98]-NRT-code) | [i] | ||
| 36 | Linear OOA(2158, 56, F2, 3, 95) (dual of [(56, 3), 10, 96]-NRT-code) | [i] | ||
| 37 | Linear OOA(2157, 56, F2, 3, 94) (dual of [(56, 3), 11, 95]-NRT-code) | [i] | ||
| 38 | Linear OOA(2156, 56, F2, 3, 93) (dual of [(56, 3), 12, 94]-NRT-code) | [i] | ||
| 39 | Linear OOA(2154, 55, F2, 3, 91) (dual of [(55, 3), 11, 92]-NRT-code) | [i] | ||
| 40 | Linear OOA(2183, 32, F2, 6, 120) (dual of [(32, 6), 9, 121]-NRT-code) | [i] | OOA Folding | |